Songklanakarin Journal of Science and Technology (SJST) (Oct 2019)

Some inequalities for the polar derivative of some classes of polynomials

  • Nuttapong Arunrat,
  • Keaitsuda Maneeruk Nakprasit

DOI
https://doi.org/10.14456/sjst-psu.2019.150
Journal volume & issue
Vol. 41, no. 5
pp. 1192 – 1203

Abstract

Read online

In this paper, we investigate an upper bound of the polar derivative of a polynomial of degree where zeros are in and the remaining zeros are outside where . Furthermore, we give a lower bound of this polynomial where zeros are outside and the remaining zeros are in where .

Keywords